3. The balance after t years on an investment of $1000 with interest rate r is B(t) = 1000et. Answer the following questions expressing your answers in terms of logarithms. (i) If the balance is $1500 after 2 years what is r? ( ( l (ii) How long does it take for the investment to double? (Use the r you obtained in part (ii).

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.